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Finding the Third Proportional to 5,316,795 and 11,662,848

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Solution

The third proportional to 5,316,795 and 11,662,848 is: 25,583,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316,795 : 11,662,848 = 11,662,848 : x
  2. Step 2: Convert to fraction form
    5,316,795/11,662,848 = 11,662,848/x
  3. Step 3: Cross multiply
    5,316,795x = 11,662,848 × 11,662,848
  4. Step 4: Simplify right side
    5,316,795x = 136,022,023,471,104
  5. Step 5: Solve for x
    x = 136,022,023,471,104/5,316,795
  6. Step 6: Final answer
    x = 25,583,462.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.